147437472 has 144 divisors (see below), whose sum is σ = 485043552. Its totient is φ = 38868480.

The previous prime is 147437471. The next prime is 147437501. The reversal of 147437472 is 274734741.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 147437472.

It is not an unprimeable number, because it can be changed into a prime (147437471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59947 + ... + 62357.

It is an arithmetic number, because the mean of its divisors is an integer number (3368358).

Almost surely, 2^147437472 is an apocalyptic number.

147437472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242521776).

147437472 is an abundant number, since it is smaller than the sum of its proper divisors (337606080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147437472 is a wasteful number, since it uses less digits than its factorization.

147437472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2436 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 147437472 is about 12142.3832915948. The cubic root of 147437472 is about 528.2862313977.

The spelling of 147437472 in words is "one hundred forty-seven million, four hundred thirty-seven thousand, four hundred seventy-two".